1. Field of the Invention
The present invention relates to a ball screwed nut according to the
preamble of claim 1, a linear guiding apparatus and, a ball screw for steering using
the ball screwed nut of claims 1 or 2, and a method of manufacturing the ball screwed
nut.
A ball screwed nut according to the preamble of claim 1 is disclosed
in WO-98/27366.
Document EP-665392 discloses a method of manufacturing a ball screwed
nut having a spiral ball rolling groove in which balls roll, the method comprising
the steps of providing a metallic sleeve blank and forming the groove by rough tapping
and finish tapping.
2. Description of the Related Art
Conventionally, a ball screwed nut was defined in an internal groove
with a ball rolling groove by cutting and grinding. As a method of defining the
ball rolling groove in the ball screwed nut, the following method has been known.
At first, a prepared hole is opened in a blank material by a drill. Next, a spiral
ball rolling groove is cut in the peripheral surface of the prepared hole by a bite.
Finally, the ball rolling groove thus cut is ground units surface with a grinding
stone.
However, in the conventional ball screwed nut defined with the ball
rolling groove by the cutting and grinding processes, there is a case where when
grinding a ball screwed nut small in inner diameter, a grinding stone cannot be
inserted into a prepared hole, thereby making the grinding process impossible. Otherwise,
similarly to the ball screwed nut having the small inner diameter, even in a ball
screwed nut having a large lead, there is a case in which since an inserting amount
of the grinding stone into the prepared hole is limited because a lead angle is
large, the grinding process cannot be performed.
Besides, in the grinding process, concave and convex in cross section
of a ball rolling groove to be machined are sharpened. As a result, when the balls
roll on the processed part, a convex is leveled and worn, the generation of worn
powders and the reduction of pre-load by an amount of wearing the convex is induced.
Since the grinding stone is fixed at a front end of a shaft supported by a cantilever,
the grinding stone may be subjected to chattering vibration during grinding operation
or probably escaped off from a ground face by bending the shaft of the grinding
stone. Consequently, there was a fear that the roughness of surface is more furthered
in the conventional art.
Besides, in the grinding process of the ball rolling groove, the grinding
stone is liable to be worn because of the small diameter of the grinding stone to
lower the precision of R shape of the ball rolling groove. As a result, the R precision
of the ball rolling groove is liable to be varied, resulting in a variation of the
diameter, irregularity in sizing or lowering of degree in roundness.
WO 98/27366 discloses a device for converting a rotational movement
into a rectilinear movement, including a ball screwed nut. In this context, the
ball rolling grooves of the nut are manufactured into sheet material by a rolling
process. Since the sheet material is of less hardness compared to the material used
in ball screwed nuts as described above, a rolling process can easily be used.
SUMMARY OF THE INVENTION
Accordingly, an object of the invention which has been made in view
of the above is to provide a ball screwed nut which can be formed with a ball screw
having a ball rolling groove small in diameter or large in lead having a sufficient
hardness to roll the balls, and which is small in surface roughness of the ball
rolling groove and high in precision of R shape of the ball rolling groove, and
a method of manufacturing the ball screwed nut.
The above object is solved by the features of claims 1 and 5, respectively.
Further embodiments may be taken from the dependent claims.
Accordingly there is provided a ball screwed nut which is defined
in an inner peripheral surface thereof with a ball rolling groove in which balls
roll, in which the ball rolling groove is formed by a rolling process.
According to this invention, since the ball rolling is subjected to
a rolling process, the ball rolling groove can be formed without the grinding process.
Therefore, a ball screwed nut even having a small diameter or a large lead can be
produced. Further, by a plastic working employing the rolling process, the surface
of the ball rolling groove is processed in a sharp and flat face without creating
concave and convex thereon, and is therefore mirror-finished with less roughness.
Thus, wearing of the surface of the ball rolling groove caused by rolling the balls
is reduced, and the pre-load is maintained, with the result that the durability
of the ball screw can be enhanced. In addition, since the ball rolling groove is
formed by the rolling process not by the grinding stone which is easily worn but
by the rolling tap excellent in the durability, the precision of R shape in the
surface of the ball rolling groove can be made excellent.
According to the invention, the ball screwed nut is made of a stainless
steel corresponding to SUS-27 of Japanese Industrial Standards (JIS), and hardness
of the surface of the ball rolling groove which has been subjected to work hardening
by the rolling process is 40 or more in C scale of Rockwell hardness.
According to the invention, since metal structure of the ball rolling
groove is continued in fibrous texture, the surface of the ball rolling groove is
work-hardened to enhance hardness. Since the ball screwed nut is made of a stainless
steel corresponding to SUS-27 of Japanese Industrial Standards (JIS), and the hardness
of the surface of the ball rolling groove which has been subjected to work hardening
is set to 40 or more in C scale of Rockwell hardness, the ball rolling groove having
the hardness sufficient to roll the balls can be available.
According to a further embodiment of the invention, there is provided
the ball screwed nut defined in the first aspect of the invention, in which the
ball rolling groove is finished on the surface thereof by a burnishing process.
According to the invention, concave and convex on the surface of the
ball rolling groove are evened by the burnishing process into a more smoothened
surface.
According to an embodiment of the invention, there is provided a linear
guiding apparatus comprising: a ball screwed shaft having a first spiral ball rolling
groove in an outer peripheral surface and, a slider supported movably in a longitudinal
direction of guide rails and including an endless circuit with a second spiral ball
rolling groove, corresponding to the first spiral ball rolling groove, and a plurality
of balls arranged in line in the endless circuit so as to roll therein in association
with movement of the slider, the slider being reciprocated while the ball screwed
shaft rotates, wherein the second ball rolling groove of the slider is formed by
the rolling process.
According to the invention, in addition to the actions and effects
obtained by the first aspect of the invention, even if the slider extends along
the longitudinal direction of the guide rail, the ball rolling groove can be formed
in the center of the slider. Therefore, a force of reciprocating the slider can
be exerted on the center of the slider so as to check twisting of the slider, so
that the reciprocation of the slider is well balanced.
According to a further embodiment of the invention, there is provided
the ball screw for steering, comprising: a ball screwed shaft having a first spiral
ball rolling groove in an external peripheral surface thereof and connected to a
steering wheel; a ball screwed nut having an endless circuit with a second spiral
ball rolling groove corresponding to the first ball rolling groove and a steering
gear on an external periphery thereof, and a plurality of balls arranged in the
endless circuit of the ball screwed nut to roll while receiving a load between the
first and second ball rolling grooves, wherein the second ball rolling groove of
the ball screwed nut is formed by a rolling process.
According to the invention, as described above, since the second ball
rolling groove of the ball screwed nut is formed by the rolling process, the surface
of the second ball rolling groove is processed in a sharp and flat surface without
creating concave and convex thereon, and is mirror-finished with less roughness.
Thus, wearing of the surface of the second ball rolling groove caused by rolling
the balls is reduced, and a pre-load is maintained, so that the durability of the
ball screw can be improved. In addition, the ball rolling groove is formed by the
rolling process not by a grinding stone which is readily worn but by a plastic working
tool such as a rolling tap excellent in the durability, so that the precision of
R shape in the surface of the ball rolling groove can be made excellent.
According to another embodiment of the invention, there is provided
a method of manufacturing a ball screwed nut defined with a spiral ball rolling
groove in which balls roll, said method comprising the steps of forming a prepared
hole in a blank material, cutting a spiral groove in the inner peripheral surface
of the prepared hole, wherein the spiral groove to be formed by the cutting process
is almost V-shaped in cross section, and rolling the ball rolling groove by relatively
rotating the blank material and a rolling tap while inserting the rolling tap into
the prepared hole. A rolling tap may be used to the plastic working tool.
According to the invention, since there is provided the step of rolling
the ball rolling groove in the ball screwed nut, one process of the rolling process
is sufficient, although the conventional method requires two processes consisting
of the cutting and grinding processes, whereby the processing cost for the ball
rolling groove can be lowered, and a lead time can be shortened as the processing
steps are saved.
The rolling step includes the sub-step of screwing the plastic working tool in
the spiral groove.
According to the invention, since there is provided the step of cutting
the spiral groove in the prepared hole, a processing resistance of the plastic working
tool is reduced in the rolling process, and the ball screwed nut having the ball
rolling groove large in diameter processing resistance can be formed by the rolling
process.
According to the invention, since the groove of substantially V-shaped
in cross section is cut in the cutting process, when it is plastic-worked by the
plastic working tool, a flow of the blank material caused by pressure of the plastic
working tool is diverged into two directions, that is, in a direction of a bottom
having the R shape in cross section and outwardly thereof at a first contacting
point between the plastic working tool and the V shaped groove as the flow dividing
point. Therefore, compared with a case in which a flat prepared hole not formed
with the V shaped groove is plastic-worked and the blank material is caused to flow
from the R-shaped bottom outwardly, a flowing distance of the blank material can
be shortened, so that a microscopic spring back caused by the plastic deformation
of the ball rolling groove can be decreased and the precision of the ball rolling
groove can be enhanced.
According to a further embodiment of the invention, there is provided
the method as defined above, wherein the surface of the ball rolling groove is finished
by the burnishing process.
According to the invention, since the plastic working tool having
a smooth surface is pressed to the surface of the ball rolling groove, the surface
of the ball rolling groove comes to a more smoothened mirror face by the burnishing
work.
BRIEF DESCRIPTION OF THE DRAWINGS
- Fig. 1 is a cross sectional view showing a ball screwed nut according to an
embodiment of the invention;
- Fig. 2 is an enlarged view showing a part A of Fig. 1;
- Figs. 3A and 3B are enlarged views showing ball rolling grooves, in which Fig.
3A shows a product by a rolling process whereas Fig. 3B shows a product by a grinding
process;
- Figs. 4A and 4B are graphs showing roughness in ball rolling grooves, in which
Fig. 4A shows a product by a rolling process, and Fig. 4B shows a product by a grinding
process;
- Fig. 5 is a plan view showing the linearly guiding apparatus according to another
embodiment of the invention;
- Fig. 6 is a cross sectional view of the slider of the linearly guiding apparatus;
- Fig. 7 is a cross sectional view showing a ball screwed nut for steering according
to another embodiment of the invention;
- Figs. 8A to 8F are views showing steps of a method of manufacturing a ball screwed
nut according to another embodiment of the invention;
- Figs. 9A and 9B are perspective views showing spiral V shaped grooves formed
in a prepared hole;
- Figs. 10A and 10B are schematic views showing the flows of a blank material
which is subjected to a rolling process, in which Fig. 10A shows the rolling of
the flat face whereas Fig. 10B shows the rolling of the V shaped groove;
- Fig. 11 is a cross sectional view for explaining the flowing of the blank material
in the ball rolling groove;
- Fig. 12 is a plan view showing the rolling tap; and
- Fig. 13 is an enlarged view showing a part B of Fig. 12.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Now, a description will be given in more detail of preferred embodiments
of the invention with reference to the accompanying drawings.
Fig.1 shows a ball screwed nut 1 according to a first embodiment of
the invention. The ball screwed nut 1 is almost cylindrical and has a flange 1a
to be connected to a carrying machine or the like at one end thereof. A ball rolling
groove 1c along which balls roll is defined in an inner peripheral surface of the
ball screwed nut 1, and a flattened part 1b is defined on the outer peripheral surface
thereof. The flattened part 1b is connected with a member such as a return pipe
formed with a no-load return passage for connecting one end to the other end of
the ball rolling groove 1c. In an endless circuit made up of the ball rolling groove
1c and the no-load return passage, balls are received in line. The ball rolls along
the ball rolling groove 1c while receiving a load, passes through the no-load return
passage and is again returned to the ball rolling groove. The cross section of the
ball rolling groove 1c may, as shown in Fig. 2, be formed by combining two circular
arcs each having the radius of curvature R slightly larger than the radius of the
balls 2 (Gothic arc groove), or may be formed with one circular arc slightly larger
than the radius of curvature of the balls 2 (circular arc groove).
The ball rolling groove 1c formed in the inner peripheral surface
of the ball screwed nut 1 is subjected to a rolling process with the result that
it is no longer necessary to machine the ball rolling groove 1c with a grinding
stone as conventionally. Accordingly, the ball rolling groove 1c can be formed in
a ball screwed nut 8 small in diameter into which the grinding stone could not be
inserted. Further, when the ball rolling groove 1c having a large lead is ground
in the grinding process, an angle at which a shaft of the grinding stone is inclined
should be taken large. This causes the amount of the grinding stone going into a
prepared hole 4b to be limited, resulting in a case where the ball rolling groove
1c having a large lead could not be ground in the conventional art. According to
the ball screwed nut 1 subjected to the rolling process, the ball rolling groove
1c having a large lead can be easily formed merely by making large the lead of a
rolling tap for forming the ball rolling groove 1c.
Fig.3A and 3B show the comparison of the cross sections of the ball
rolling grooves 1c, where Fig. 3A is a product by the rolling process and Fig. 3B
is a product by the grinding process. As seen in those figures, in the rolled product
shown in Fig 3A the R shape of the ball rolling groove 1c can be enhanced in precision
as compared with the ground product shown in Fig. 3B. For example, in the rolled
product shown in Fig. 3A, a symmetrically excellent shape is available at the edge
3 of the ball rolling groove 1c. In addition, a ball contact angle a of the rolled
product shown in Fig. 3A is larger than a ball contact angle β of the ground
product shown in Fig. 3B. Thus, the rolled product shown in Fig. 3A can obtain an
ideal ball contact angle. The R precision of the ball rolling surface can be made
good by rolling the surface with the rolling tap little in wearing and excellent
in durability, not with the grinding stone to be easily worn Further, the ball screwed
nuts obtained where diameters are less in variation, sizes are uniform and roundness
is excellent.
Figs. 4A and 4B show the comparison of surface roughness of the ball
rolling grooves 1c between the rolled product shown in Fig. 3A and the ground product
shown in Fig. 3B. A seen in those figures, the rolled product shown in Fig. 3A is
smaller in surface roughness than the ground product shown in Fig. 3B. The surface
of the ball rolling groove 1c is finished by a burnishing process, as a result of
which the roughness on the surface of the ball rolling groove 1c are evened to be
a smoothened mirror face. Since the surface of the ball rolling groove 1c is processed
in a sharp and flat face without causing roughness thereon, the wearing of the surface
on the ball rolling groove 1c to be caused by rolling of the ball is reduced, and
a pre-load is maintained. As a result, the durability of the ball screwed nut can
be improved.
A material of the ball screwed nut is a stainless steel corresponding
to Japanese Industrial Standards (JIS) SUS-27 which is an austenitic stainless steel,
the chemical composition of which is shown in Table 1.
JIS
Chemical composition (%)
SUS-27
C
Si
Mn
P
S
Ni
Cr
Mo
Cu
others
0.08 or less
1.00 or less
2.00 or less
0.040 or less
0.030 or less
8.00 to 10.50
18.00 to 20.00
Since the metallographic structure of the ball rolling groove 1c is
continued in fibrous texture, the surface of the ball rolling groove 1c is work-hardened
to increase hardness. The hardness of the ball rolling groove 1c which has been
work-hardened is 40C or more in C scale of Rockwell hardness. The ball screwed nut
1 is made of a stainless steel corresponding to SUS-27 of the Japanese Industrial
Standards (JIS), and since the hardness of the ball rolling groove 1c which has
been work-hardened is set to 40C or more in C scale of Rockwell hardness, the ball
rolling groove 1c which has the enough hardness to roll the balls 2 is obtained.
Fig. 5 shows a linearly guiding apparatus 11 according to an embodiment
of the invention. This apparatus 11 includes a ball screwed nut 12 having a spiral
ball rolling groove in the outer periphery, a slider 10 provided with an endless
circuit containing a spiral ball rolling groove corresponding to the spiral ball
rolling groove of the ball screwed nut 12, and a plurality of balls (not shown)
received in line in the endless circuit so as to roll in association with actuation
of the slider 10. The slider 10 is supported movably along the longitudinal direction
of a guide rail 13 which is substantially U-shaped in cross section and right angled
with respect to the longitudinal direction. Opposed inner surfaces 13a and 13b of
the guide rail 13 are formed with ball rolling grooves for rails along the longitudinal
direction. The slider 10 is also formed with an endless circuit for rails containing
ball rolling grooves for rail corresponding to the ball rolling groove for rails
defined in the guide rail 13. Also, in the endless circuit for rail of the slider
10, a plurality of balls are received in line so as to circulate therein in association
with the movement of the slider 10. When the screw shaft 12 is rotationally driven
by a motor 14, the slider 10 supported movably along the longitudinal direction
of the guide rail 13 is reciprocated.
Fig. 6 shows the cross section of the slider 10. A ball rolling groove
10a is formed in the inner peripheral surface of the slider 10 by a rolling process.
Since the ball rolling groove 10a is formed by the rolling process, even if a distance
L from the edge of the slider 10 to a groove processed position is long, the ball
rolling groove 10a can be formed. Thus, a distance where the grinding stone is inserted
from the edge of the slider 10 is not limited as in the grinding process, and the
ball rolling groove 10a can be formed in the center of the slider 10. As a result,
a force for reciprocating the slider 10 supported by the guide rails 13 can be exerted
at the center of the slider 10 so that the slider may be prevented from twisting
to make good balance in reciprocation of the slider 10.
Fig. 7 shows a ball screwed nut for steering. A steering wheel (not
shown) is connected with a screw shaft 21 having a spiral ball rolling groove 21a
for the screw shaft in an outer peripheral surface thereof. On the other hand, a
ball screwed nut 22 is formed in an inner peripheral surface thereof with an endless
circuit having a spiral ball rolling groove 22a corresponding to the ball rolling
groove 21a for screw. In the endless circuit, a large number of balls 23 are received
in line so as to roll while receiving a load between the ball rolling grooves 21a
and 22a. A steering gear 24 formed of a rack is disposed on the outer peripheral
surface of the ball screwed nut 22. A steering arm 25 has a sector gear 26 in mesh
with the steering gear 24. When the steering wheel rotates, the screw shaft 21 rotates
and the ball screwed nut 22 moves in an axial direction of the screw shaft 21. With
the movement of the ball screwed nut 22, the steering arm 25 is oscillated in association
with movement of the ball screwed nut 22. With the arrangement of a large number
of balls 23 in line, the balls 23 are brought in roll contact with the screw shaft
21 and the ball screwed nut 22 to reduce friction, thereby making handle steering
light.
The ball rolling groove 22a is formed by the rolling process similarly
to the ball screwed nut 1. Since the ball rolling groove 22a of the ball screwed
nut 22 is subjected to the rolling process, the surface of the ball rolling groove
22a is made sharp, flat and mirror-finished without any roughness. Consequently,
the wearing of the surface of the ball rolling groove 22a to be caused by rolling
the balls 23 is reduced, the pre-load is maintained, and the durability of the ball
screwed nut for steering can be improved. The R precision of the surface of the
ball rolling groove 22a can be made good by rolling the ball rolling groove 22a
with the rolling tap little in wearing and excellent in durability, not with the
grinding stone to be easily worn.
Figs. 8A to 8F show a method of manufacturing the ball screwed nut
1 according to an embodiment of the invention. At first, as shown in Fig. 8A, an
outer periphery of a cylindrical blank material 4 is cut by a bite 5 into a flange
4a (step S1). At this time, the outer diameter of the blank material 4 is cut to
be slightly larger than a finished size. Next, as shown in Fig. 8B, the blank material
4 is formed with a prepared hole 4b by a drill 6 (step S2). A diameter of the prepared
hole 4b is optimally selected taking the flow of the blank material 4 in the vicinity
of the ball rolling groove 22a into consideration. Subsequently, as shown in Fig.
8C, the prepared hole 4b is widened up to a correct size by a boring bite 7 (step
S3). Then, the surface roughness of the prepared hole 4b is finished to be 6.3S
or more. Thereafter, as shown in Fig. 8D, the blank material 4 is rotated at low
speed of 100 to 200rpm, and a rolling tap 8 is inserted into the prepared hole 4b
so as to roll the ball rolling groove 1c in the blank material 1c (step S4). The
surface of the ball rolling groove 1c is burnish-finished by the rolling process
using the rolling tap 8 having a flat face. In the rolling process, a cutting oil
is fully applied to prevent heating by the blank material 4. Next, as shown in Fig.
8E, a return part 4d for circulating the balls 23 is groove-processed in the blank
material 4 by an end mill 9, and the outer periphery of the blank material 4 is
cut by the bite 5 to finish the outer diameter (step S5). Finally, as shown in Fig.
8F, the rolling tap 8 is again allowed to pass through the ball rolling groove 4c
of the blank material 4 for removing burrs of the ball rolling groove 4c (step S6).
Since the blank material 4 is formed with the ball rolling groove
4c through the rolling process (step S4), it is no longer necessary to grind the
ball rolling groove 4c with the grinding stone as in the conventional method. Consequently,
a processing cost for the ball rolling groove 4c can be saved. In addition, since
the number of processing steps is decreased, the lead time can be shortened.
When the blank material 4 large in inner diameter is subjected to
the rolling process, the cutting process is provided for cutting a spiral groove
in the inner peripheral surface of the prepared hole 4b by means of a bite or a
cutting tap between the process of forming the prepared hole 4b(steps S2, S3) and
the process of rolling the ball rolling groove 1c in the prepared hole 4b (step
S4). That is, a spiral groove is cut in the inner peripheral surface of the prepared
hole 4b, and subsequently the rolling tap is screwed into the spiral groove so as
to roll the ball rolling groove 4c in the blank material 4.
As described above, with provision of the process of cutting the spiral
groove in the prepared hole 4c, the processing resistance of the rolling tap 8 can
be decreased in the rolling process, thereby making it possible to roll ball screwed
nuts having the ball rolling grooves large in diameter.
As shown in Figs. 9A and 9B, there is a case in which grooves are
formed in spiral grooves of almost V shape in cross section depending upon the cutting
process. Fig. 9A shows a blank material 4 formed with only a prepared hole 4b whereas
Fig. 9B shows a blank material 4 cut with V shaped spiral grooves in a prepared
hole 4b. Figs. 10A and 10B show a comparison of flows of parts 4e cut in the blank
material 4. Fig. 10A shows a case in which a flat face 4f formed with only a prepared
hole 4b is subjected to a rolling process with the rolling tap 8. Fig. 10B shows
a case in which a spiral V shaped groove 30 in cross section is subjected to the
rolling process with the rolling tap 8.
As shown in Figs. 10A, 10B and 11, the blank material 4 flows outwardly
by a pressure of the rolling tap 8 in left and right directions (c-directions) from
a diverging point of an R shaped bottom 31 of the ball rolling groove 4c. On the
contrary, in the case where the V shaped groove 30 is subjected to the rolling process,
the blank material 4 is diverged into two directions, that is, a direction of the
R cross sectional bottom (b-direction) and outwardly thereof (a-direction) at diverging
points of the flow which are first contacts 32 between the rolling tap 8 and the
V-shaped groove 30. Therefore, compared with a case of causing the blank material
4 to flow outwardly from the R cross sectional bottom 31, a flowing distance of
the blank material 4 is shortened, and an amount of microscopic spring back caused
by plastic deformation of the section of the ball rolling groove 1c can be decreased.
As a result, the precision of the ball rolling groove 1c can be enhanced. Further,
the first contacts 32 (the diverging point of flowing of the blank material) with
the rolling tap 8 and the V shaped groove 30 are taken on the line of contact angle
so that the flowing of the blank material 4 can be diverged from the line of contact
angle as a starting point.
The rolling tap 8 includes, as seen in Figs. 12 and 13, a square part
35a to be chucked to a machine tool, a shank part 35b and a rolling edge 35c. A
material of the rolling tap 8 is SUS 440. The rolling edge 35c is formed with a
spiral thread and is formed at a front end thereof with taper to be ready for catching
the blank material 4. A cross section of the thread is almost arc shaped as shown
in Fig. 13, which corresponds to a cross section of the ball rolling groove 4c,
and may be formed by combining two circular arcs having the radius of curvature
R slightly larger than the radius of the balls 2 (Gothic arc groove) or may be formed
with one circular arc slightly larger than the radius of curvature of the balls
2 (circular arc groove). In addition, the rolling edge 35c is provided with grooves
35d at four equal parts in a peripheral direction thereof. The rolling edge 35c
is coated with Tin on the surface so as to be smoothened. when a process of cutting
the groove 30 spirally or V shaped in cross section is conducted prior to the rolling
process, the front end of the rolling edge 35c may be continuously formed with the
cutting edge having the same lead integrally with the rolling edge 35c.
As was described above, according to the invention, since the ball
rolling groove in which the balls of the ball screwed nut are rolled is formed by
the rolling process, the ball screwed nuts can be formed not depending upon the
cutting process. This makes it possible to form ball screwed nuts of small diameter
or large lead. The surface of the ball rolling groove is processed to be sharp without
any roughness by the plastic working of the rolling process and finished in a mirror
face with less roughness. Further, since the ball rolling groove is formed by the
rolling process not by the grinding stone which is liable to be worn but by the
plastic working tool such as a rolling tap less in wear and excellent in the durability,
the R precision of the surface of the ball rolling groove can be made preferable.